The radius of the curved road on the national highway is 80m . The horizontal width of the road is 2m . The outer edge of the road is raised by h with respect to the inner edge so that a car with velocity 20ms- 1 can pass safe over it the value of h is :-

Question

The radius of the curved road on the national highway is 80m . The horizontal width of the road is 2m . The outer edge of the road is raised by h with respect to the inner edge so that a car with velocity 20ms- 1 can pass safe over it the value of h is :- (A) 1m (B) 2m (C) (1/2)m (D) (1/4)m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-ax6mjpftb9tsl4aw.jpg" /> (v2/r g)=tanθ ⇒ (v2/r g)=(h/b) ⇒ (20 × 20/80 × 10)=(h/2) ⇒ h=1m

Q. The radius of the curved road on the national highway is $80 m$ . The horizontal width of the road is $2 m$ . The outer edge of the road is raised by $h$ with respect to the inner edge so that a car with velocity $20 m s^{- 1}$ can pass safe over it the value of $h$ is :-

$1 m$

$2 m$

$\frac{1}{2} m$

$\frac{1}{4} m$

$\frac{v ^{2}}{r g} = t an θ$
$\Rightarrow \frac{v ^{2}}{r g} = \frac{h}{b}$
$\Rightarrow \frac{20 \times 20}{80 \times 10} = \frac{h}{2}$
$\Rightarrow h = 1 m$

Q. The radius of the curved road on the national highway is 80m . The horizontal width of the road is 2m . The outer edge of the road is raised by h with respect to the inner edge so that a car with velocity 20ms−1 can pass safe over it the value of h is :-

1m

2m

21​m

41​m